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Finding the Fourth Proportional to 198,284.34, 297,363.43 and 65,133.71

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Solution

The fourth proportional to 198,284.34, 297,363.43 and 65,133.71 is: 97,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,284.34 : 297,363.43 = 65,133.71 : x
  2. Step 2: Convert to fraction form
    198,284.34/297,363.43 = 65,133.71/x
  3. Step 3: Cross multiply
    198,284.34x = 297,363.43 × 65,133.71
  4. Step 4: Simplify right side
    198,284.34x = 19,368,383,414.23
  5. Step 5: Solve for x
    x = 19,368,383,414.23/198,284.34
  6. Step 6: Final answer
    x = 97,679.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.